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Uncertainty propagation in structural reliability with implicit limit state functions under aleatory and epistemic uncertainties
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School of Reliability and Systems Engineering, Beihang University, Xueyuan Road No.37, Haidian, District, Beijing 100191, China
Science and Technology on Reliability and Environmental Engineering Laboratory, Beihang University, Xueyuan Road No.37, Haidian District, Beijing 100191, China
Institute of Unmanned System, Beihang University, Xueyuan Road No.37, Haidian District, Beijing 100191, China
School of Aeronautic Science and Engineering, Beihang University, Xueyuan Road No.37, Haidian District, Beijing 100191, China
Publication date: 2021-06-30
Eksploatacja i Niezawodność – Maintenance and Reliability 2021;23(2):231–241
  • A novel surrogate model is given for implicit function under uncertain random variable.
  • The concepts of chance reliability and chance reliability index (CRI) are proposed.
  • A new level-2 uncertainty propagation model is provided for uncertain random structure.
  • The principles for choosing reasonable uncertainty propagation types are presented.
Uncertainty propagation plays a pivotal role in structural reliability assessment. This paper introduces a novel uncertainty propagation method for structural reliability under different knowledge stages based on probability theory, uncertainty theory and chance theory. Firstly, a surrogate model combining the uniform design and least-squares method is presented to simulate the implicit limit state function with random and uncertain variables. Then, a novel quantification method based on chance theory is derived herein, to calculate the structural reliability under mixed aleatory and epistemic uncertainties. The concepts of chance reliability and chance reliability index (CRI) are defined to show the reliable degree of structure. Besides, the selection principles of uncertainty propagation types and the corresponding reliability estimation methods are given according to the different knowledge stages. The proposed methods are finally applied in a practical structural reliability problem, which illustrates the effectiveness and advantages of the techniques presented in this work.
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